47870352768 has 512 divisors, whose sum is σ = 162437529600. Its totient is φ = 12175441920.

The previous prime is 47870352743. The next prime is 47870352779. The reversal of 47870352768 is 86725307874.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66578713 + ... + 66579431.

It is an arithmetic number, because the mean of its divisors is an integer number (317260800).

Almost surely, 2^47870352768 is an apocalyptic number.

47870352768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47870352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81218764800).

47870352768 is an abundant number, since it is smaller than the sum of its proper divisors (114567176832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47870352768 is a wasteful number, since it uses less digits than its factorization.

47870352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 47870352768 in words is "forty-seven billion, eight hundred seventy million, three hundred fifty-two thousand, seven hundred sixty-eight".